Solve x+1/2x>45

$$x + \frac { 1 } { 2 } x > 45$$

Solve for x

$$x>30$$

Solution Steps

Combine x and \frac{1}{2}x to get \frac{3}{2}x.

$$\frac{3}{2}x>45$$

Multiply both sides by \frac{2}{3}, the reciprocal of \frac{3}{2}. Since \frac{3}{2} is positive, the inequality direction remains the same.

$$x>45\times \frac{2}{3}$$

Express 45\times \frac{2}{3} as a single fraction.

$$x>\frac{45\times 2}{3}$$

Multiply 45 and 2 to get 90.

$$x>\frac{90}{3}$$

Divide 90 by 3 to get 30.

$$x>30$$